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If x=cis A, y=cis B, z =cis C where A, ...

If `x=cis A`, `y=cis B`, `z =cis C ` where A, B, C are the angles of a triangle then x y z=

A

0

B

-1

C

1

D

none of these

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The correct Answer is:
B
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The complex numbers z(1), z(2), z(3) are three vertices of a parallelo...

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  2. The complex numbers 1,-1, i sqrt(3) form

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  3. If x=cis A, y=cis B, z =cis C where A, B, C are the angles of a trian...

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  4. The value of ((1+i)/(sqrt(2)))^(8)+((1-i)/(sqrt(2)))^(8)=

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  5. If x=-1-i sqrt(3) then the value of x^(3) is

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  6. If (sqrt(3)+i)^(100)=2^(99)(a+i b) then a^(2)+b^(2)=

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  7. The value of (-1+i sqrt(3))^(48)=

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  8. If z=(sqrt(3)+i)/(2) then z^(69)=

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  9. (1+i)^(6)+(1-i)^(6)=

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  10. One of the value of (cos (pi)/(6)+i sin (pi)/(6))^(1 / 2)+(cos (pi)/(6...

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  11. One of the values of ((cos (pi)/(6)-i sin (pi)/(6))^(1 / 2))((cos (pi)...

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  12. If ((1+cos theta+i sin theta)/(sin theta+i+i cos theta))^(4)=cos n th...

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  13. ((cos theta+i sin theta)/(sin theta+i cos theta))^(4)=

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  14. ((sin (pi/8)+i cos (pi/8))/(sin (pi/8)-i cos (pi/8)))^(8)=

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  15. ((1+cos. pi/8+isin. pi/8)/(1+cos. pi/8- isin. pi/8))^(8)=

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  16. The value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqr...

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  17. If theta=(pi)/(6) then the 10^(th) term of the series 1+(cos thet...

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  18. If 2 cos theta=x+(1)/(x) and 2 cos phi=y+(1)/(y) then the value of ...

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  19. The value of (sin (pi/3)+i cos (pi/3))^(3) is

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  20. (sin theta+i cos theta)^(9)=

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